论文标题
极端问题的本地版本
Localized versions of extremal problems
论文作者
论文摘要
我们通过用不平等替换全局约束，使给定类中的所有对象替换全局约束，从而概括了几个经典定理。特别地，我们获得了Turán定理，Erdős-Gallai定理，淋巴结质量，ERDőS-KO-RADO定理和erdős-Szekeres定理的概括。
We generalize several classical theorems in extremal combinatorics by replacing a global constraint with an inequality which holds for all objects in a given class. In particular we obtain generalizations of Turán's theorem, the Erdős-Gallai theorem, the LYM-inequality, the Erdős-Ko-Rado theorem and the Erdős-Szekeres theorem on sequences.
